## On normal families and a result of Drasin.(English)Zbl 0556.30025

Let n be an integer not less than 5, and let a and b be complex numbers with $$a\neq 0$$. Let f be a family of functions meromorphic in a domain D such that for each f in F, $$f'(z)-af^ n(z)=b$$ has no solutions in D. Then F is a normal family in D. Some lemmas of Gu Yongxing (Y. Ku) [Sci. Sin. 21, 431-445 (1978)] are used in the proof. D. Drasin [Acta Math. 122, 231-263 (1969; Zbl 0176.028)] proved the analogous theorem for analytic functions in D.
Reviewer: L.R.Sons

### MSC:

 30D45 Normal functions of one complex variable, normal families

Zbl 0176.028
Full Text:

### References:

 [1] Yang, Sci.Sinica 14 pp 1262– (1965) [2] Sci. Sinica 21 pp 431– (1978) [3] DOI: 10.1007/BF02392012 · Zbl 0176.02802 [4] Hayman, Meromorphic Functions (1964) [5] DOI: 10.2307/1969890 · Zbl 0088.28505 [6] Hayman, Research Problems in Function Theory (1967) · Zbl 0158.06301
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